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2041224223131 = 34197431785103
BaseRepresentation
bin11101101101000010011…
…100011101100110011011
321020010202102111100220000
4131231002130131212123
5231420411400120011
64201420411104043
7300321303422352
oct35550234354633
97203672440800
102041224223131
1171775094a885
1228b729a42023
1311a64313c802
1470b1d894999
153816c1d7356
hex1db4271d99b

2041224223131 has 40 divisors (see below), whose sum is σ = 3214044049920. Its totient is φ = 1287458404848.

The previous prime is 2041224223109. The next prime is 2041224223189. The reversal of 2041224223131 is 1313224221402.

2041224223131 is a `hidden beast` number, since 2 + 0 + 412 + 24 + 223 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 2041224223131 - 227 = 2041090005403 is a prime.

It is a super-2 number, since 2×20412242231312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2041224223095 and 2041224223104.

It is not an unprimeable number, because it can be changed into a prime (2041224223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250926 + ... + 2036028.

It is an arithmetic number, because the mean of its divisors is an integer number (80351101248).

Almost surely, 22041224223131 is an apocalyptic number.

2041224223131 is a deficient number, since it is larger than the sum of its proper divisors (1172819826789).

2041224223131 is a wasteful number, since it uses less digits than its factorization.

2041224223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785877 (or 1785868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2041224223131 its reverse (1313224221402), we get a palindrome (3354448444533).

The spelling of 2041224223131 in words is "two trillion, forty-one billion, two hundred twenty-four million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 513 743 1539 2229 6687 14117 20061 42351 60183 127053 381159 1143477 1785103 5355309 16065927 33916957 48197781 101750871 144593343 305252613 915757839 1326331529 2747273517 3978994587 11936983761 25200299051 35810951283 75600897153 107432853849 226802691459 680408074377 2041224223131